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Basic Algebraic Geometry 1: Varieties in Projective Space

Basic Algebraic Geometry 1: Varieties in Projective Space Hardback - 2013

by Igor R. Shafarevich

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  • Hardcover

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Hardback. New. Here is the first of a two-volume work offering an introduction to algebraic geometry. It makes the topic accessible to non-specialists and beginners and is suitable for undergraduates in mathematics as well as students of theoretical physics.
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From the rear cover

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich's book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles.

Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

About the author

Igor Shafarevich made fundamental contributions to several parts of mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry.